Finding the Fourth Proportional to 1,009.41, 1,513.83 and 278.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.41 : 1,513.83 = 278.82 : x
2. Step 2: Convert to fraction form
   1,009.41/1,513.83 = 278.82/x
3. Step 3: Cross multiply
   1,009.41x = 1,513.83 × 278.82
4. Step 4: Simplify right side
   1,009.41x = 422,086.08
5. Step 5: Solve for x
   x = 422,086.08/1,009.41
6. Step 6: Final answer
   x = 418.15